Lattice Path Combinatorics with Statistical Applications; Mathematical Expositions 23:
Lattice path combinatorics has developed greatly as a branch of probability studies recently, and the need for new books on the subject is obvious. The present monograph, by one who has made significant contributions to combinatorics and its applications to probability and statistics, will be useful...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Toronto
University of Toronto Press
[2019]
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| Schriftenreihe: | Heritage
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| Schlagworte: | |
| Online-Zugang: | FAW01 FHA01 FKE01 FLA01 UPA01 FAB01 FCO01 Volltext |
| Zusammenfassung: | Lattice path combinatorics has developed greatly as a branch of probability studies recently, and the need for new books on the subject is obvious. The present monograph, by one who has made significant contributions to combinatorics and its applications to probability and statistics, will be useful to research workers, teachers, professional statisticians, and advanced students alike. It treats several recent results and it offers a powerful new tool for studying many problems in mathematical statistics. The emphasis in the five chapters is on 'dominance.' From a consideration of exceedances in the lattice path problem, the text goes on to provide solutions to tests of hypotheses and simple sampling plans, displaying the usefulness of Young chains in the enumeration of the latter. The fourth chapter, on knock-out tournaments, represents one approach to paired comparisons quite close in spirit to dominance and lattice path combinatorics, and the final chapter considers the advantages of using combinatorial methods in statistical problems (including the Frame-Robinson-Thrall theorem to derive properties of non-parametric tests) and mentions current trends of research. Numerous examples, exercises, and references round out the text |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 25. Sep 2019) |
| Beschreibung: | 1 online resource |
| ISBN: | 9781487582586 |
| DOI: | 10.3138/9781487582586 |
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Datensatz im Suchindex
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| spelling | Narayana, T.V. Verfasser aut Lattice Path Combinatorics with Statistical Applications; Mathematical Expositions 23 T.V. Narayana Toronto University of Toronto Press [2019] © 1979 1 online resource txt rdacontent c rdamedia cr rdacarrier Heritage Description based on online resource; title from PDF title page (publisher's Web site, viewed 25. Sep 2019) Lattice path combinatorics has developed greatly as a branch of probability studies recently, and the need for new books on the subject is obvious. The present monograph, by one who has made significant contributions to combinatorics and its applications to probability and statistics, will be useful to research workers, teachers, professional statisticians, and advanced students alike. It treats several recent results and it offers a powerful new tool for studying many problems in mathematical statistics. The emphasis in the five chapters is on 'dominance.' From a consideration of exceedances in the lattice path problem, the text goes on to provide solutions to tests of hypotheses and simple sampling plans, displaying the usefulness of Young chains in the enumeration of the latter. The fourth chapter, on knock-out tournaments, represents one approach to paired comparisons quite close in spirit to dominance and lattice path combinatorics, and the final chapter considers the advantages of using combinatorial methods in statistical problems (including the Frame-Robinson-Thrall theorem to derive properties of non-parametric tests) and mentions current trends of research. Numerous examples, exercises, and references round out the text In English MATHEMATICS / Probability & Statistics / General bisacsh https://doi.org/10.3138/9781487582586 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Narayana, T.V Lattice Path Combinatorics with Statistical Applications; Mathematical Expositions 23 MATHEMATICS / Probability & Statistics / General bisacsh |
| title | Lattice Path Combinatorics with Statistical Applications; Mathematical Expositions 23 |
| title_auth | Lattice Path Combinatorics with Statistical Applications; Mathematical Expositions 23 |
| title_exact_search | Lattice Path Combinatorics with Statistical Applications; Mathematical Expositions 23 |
| title_full | Lattice Path Combinatorics with Statistical Applications; Mathematical Expositions 23 T.V. Narayana |
| title_fullStr | Lattice Path Combinatorics with Statistical Applications; Mathematical Expositions 23 T.V. Narayana |
| title_full_unstemmed | Lattice Path Combinatorics with Statistical Applications; Mathematical Expositions 23 T.V. Narayana |
| title_short | Lattice Path Combinatorics with Statistical Applications; Mathematical Expositions 23 |
| title_sort | lattice path combinatorics with statistical applications mathematical expositions 23 |
| topic | MATHEMATICS / Probability & Statistics / General bisacsh |
| topic_facet | MATHEMATICS / Probability & Statistics / General |
| url | https://doi.org/10.3138/9781487582586 |
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